Answer:
T: (8, 6)
Step-by-step explanation:
The midpoint formulas for xm and ym involve the average x value and the average y value. Let T: (a, b) and V: (10,2). The actual midpoint is M(9,4).
Looking at the x-coordinates first:
a + 10
--------- = 9 (x-coordinate of the midpoint)
2
Then a + 10 = 18 and a = 8 (x-coordinate of point T)
Next, look at the y-coordinates:
b + 2
-------- = 4 (y-coordinate of the midpoint)
2
Then b + 2 = 8 and b = 6
Then the x- and y-coordinates of T(a, b) are 8 and 6 respectively:
T: (8, 6)
